For particular turbulent flows, PIV measurements technique provides more than 10% of spurious velocity vectors at each time step. To correct these vectors, we propose to use the Linear Stochastic Estimation (LSE) dealing with the spatial correlation tensor of the velocity. If this tensor cannot be determined in some measurement zones, Proper Orthogonal Decomposition is used to model this tensor. Both reconstruction methodologies are tested from PIV measurements performed in a Spark Ignition engine flow. We show that for coherent structures analysis, the LSE reconstruction method provides better results than classical mathematical interpolation methods.
Les mesures PIV peuvent entraı̂ner pour des écoulements turbulents particuliers près de 10 % de vecteurs vitesse erronés. Pour corriger ces vecteurs, on propose d'utiliser l'Estimation Stochastique Linéaire basée sur le tenseur de corrélation spatiale de vitesse. Si ce tenseur n'est pas partout accessible, la Décomposition Orthogonale aux valeurs Propres est alors utilisée pour reconstruire ce tenseur. Une validation de ces procédures de reconstruction réalisée à partir de mesures PIV en écoulement de moteur a ainsi montré l'intérêt pour l'analyse des structures cohérentes d'utiliser la LSE par rapport aux méthodes d'interpolations mathématiques couramment utilisées.
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Mots-clés : Turbulence, Coherent structures, PIV, Stochastic Estimation, Proper Orthogonal Decomposition
Philippe Druault 1; Philippe Guibert 1
@article{CRMECA_2004__332_9_731_0, author = {Philippe Druault and Philippe Guibert}, title = {Use of turbulent flow statistical properties for correcting erroneous velocity vectors in {PIV}}, journal = {Comptes Rendus. M\'ecanique}, pages = {731--736}, publisher = {Elsevier}, volume = {332}, number = {9}, year = {2004}, doi = {10.1016/j.crme.2004.04.006}, language = {fr}, }
TY - JOUR AU - Philippe Druault AU - Philippe Guibert TI - Use of turbulent flow statistical properties for correcting erroneous velocity vectors in PIV JO - Comptes Rendus. Mécanique PY - 2004 SP - 731 EP - 736 VL - 332 IS - 9 PB - Elsevier DO - 10.1016/j.crme.2004.04.006 LA - fr ID - CRMECA_2004__332_9_731_0 ER -
Philippe Druault; Philippe Guibert. Use of turbulent flow statistical properties for correcting erroneous velocity vectors in PIV. Comptes Rendus. Mécanique, Volume 332 (2004) no. 9, pp. 731-736. doi : 10.1016/j.crme.2004.04.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.04.006/
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